3 papers
math.FA2020
Square functions for commuting families of Ritt operators
Olivier Arrigoni
In this paper, we investigate the role of square functions defined for a -tuple of commuting Ritt operators acting on a general Banach space . Firstly, we pro…
math.FA2020
New properties of the multivariable functional calculus of sectorial operators
Olivier Arrigoni, Christian Le Merdy
This paper is devoted to the multivariable functional calculus associated with a finite commuting family of sectorial operators on Banach space. First we prove that if $…
math.FA2019
-functional calculus for commuting families of Ritt operators and sectorial operators
Olivier Arrigoni, Christian Le Merdy
We introduce and investigate -functional calculus for commuting finite families of Ritt operators on Banach space . We show that if either is a Banach lattice or $…